Scientist A makes the suggestion that there exists a one-dimensional system for

Question

Scientist A makes the suggestion that there exists a one-dimensional system for which the wavefunction psi (x) has the form psi (x) = N tan (ax) for x greater/equal than 0 and x smaller/equal than infinity; N and a are constants. Scientists B disagrees with A and states that the true wavefunction for the system in question has the form psi(x)= N x^(1/2)e^(-ax) for x greater/equal than 0 and x smaller/equal than infinity; N and a are constants. Scientist C disagrees with both A and B and suggests that psi (x)= N sin (ax) for x greater/equal than 0 and x smaller/equal than infinity; N and a are constants. Which scientist is more likely to be correct? Justify your answer. Can anyone provide a detailed solution for this problem? Thanks

Explanation / Answer

Scientist A: psi (x) = N tan (ax) for x >= 0 and x < , N & a are constants.

Scientists B: psi(x)= N x^(1/2)e^(-ax) for x >= 0 and x < , N & a are constants.

Scientists C: psi (x)= N sin (ax) for x >= 0 and x < , N & a are constants.

Scientists C is correct since the wavefunction given by him is bounded. In case of Scientist A and Scientist B, the tan function becomes unbounded or infinite when its argument becomes (/2) and in case of B the exponential function becomes infinite as x tends to zero. only in case of scientist C , we get a bounded and finite value of the wavefunction . Thus Scientist C is correct.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.